205023212340 has 48 divisors (see below), whose sum is σ = 574734992832. Its totient is φ = 54609047296.

The previous prime is 205023212333. The next prime is 205023212357. The reversal of 205023212340 is 43212320502.

205023212340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 205023212340.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1942194 + ... + 2045033.

It is an arithmetic number, because the mean of its divisors is an integer number (11973645684).

Almost surely, 2^205023212340 is an apocalyptic number.

205023212340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205023212340 is an abundant number, since it is smaller than the sum of its proper divisors (369711780492).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205023212340 is a wasteful number, since it uses less digits than its factorization.

205023212340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3988096 (or 3988094 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 205023212340 its reverse (43212320502), we get a palindrome (248235532842).

The spelling of 205023212340 in words is "two hundred five billion, twenty-three million, two hundred twelve thousand, three hundred forty".